Finite Group Databasebeta

← #32204621

Subgroups — #32204621

Order 18176.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22596628C211yesmaximal, characteristic, complemented
2#22596621C211yesmaximal, characteristic
3#22595545C211yesmaximal, characteristic, complemented
4#22595533C211yesmaximal, characteristic, complemented
5#22595466C211yesmaximal, characteristic, complemented
6#22595466C211yesmaximal, characteristic, complemented
7#22595455C211yesmaximal, characteristic, complemented
8#22595181C211yesmaximal, characteristic, complemented
9#22595180C211yesmaximal, characteristic, complemented
10#22594967C211yesmaximal, characteristic, complemented
11#22594963C211yesmaximal, characteristic, complemented
12#22594840C211yesmaximal, characteristic, complemented
13#22594836C211yesmaximal, characteristic, complemented
14#22594826C211yesmaximal, characteristic, complemented
15#22594814C211yesmaximal, characteristic, complemented
16#22594596C211yesmaximal, characteristic, complemented
17#22594589C211yesmaximal, characteristic, complemented
18#22594455C211yesmaximal, characteristic, complemented
19#22594267C211yesmaximal, characteristic, complemented
20#22592607C211yesmaximal, characteristic, complemented
21#22592604C211yesmaximal, characteristic, complemented
22#22592470C211yesmaximal, characteristic, complemented
23#22592467C211yesmaximal, characteristic, complemented
24#22592154C211yesmaximal, characteristic, complemented
25#22592152C211yesmaximal, characteristic, complemented
26#22591809C211yesmaximal, characteristic, complemented
27#22591797C211yesmaximal, characteristic, complemented
28#22591069C211yesmaximal, characteristic, complemented
29#22591044C211yesmaximal, characteristic, complemented
30#380×D71C211yesmaximal, characteristic, complemented
31C71×#2741C211yesmaximal, characteristic, complemented
32C23×C4×D71C2211yescharacteristic
33C2×#14556123C2211yescharacteristic, complemented
34C2×#14556121C2211yescharacteristic, complemented
35C2×#14556116C2211yescharacteristic
36C2×#14556114C2211yescharacteristic
37C2×#14556113C2211yescharacteristic
38C2×#14556112C2211yescharacteristic
39C2×#14556108C2211yescharacteristic
40C2×#14556108C2211yescharacteristic
41C2×#14556108C2211yescharacteristic
42C2×#14556107C2211yescharacteristic
43C2×#14556106C2211yescharacteristic
44C2×#14556106C2211yescharacteristic, complemented
45C2×#14556105C2211yescharacteristic, complemented
46C2×#14556101C2211yescharacteristic
47C2×#14556101C2211yescharacteristic
48C2×#14556100C2211yescharacteristic
49C2×#14556098C2211yescharacteristic
50C2×#14556096C2211yescharacteristic
51C2×C4×D284C2211yescharacteristic
52C2×(C22⋊D71)⋊C4C2211yescharacteristic
53C2×C4⋊C4×D71C2211yescharacteristic
54C2×C4⋊C4×D71C2211yescharacteristic
55C2×C22⋊C4×D71C2211yescharacteristic
56C2×C22⋊C4×D71C2211yescharacteristic
57#17985941C2211yescharacteristic, complemented
58#17985941C2211yescharacteristic, complemented
59#17985941C2211yescharacteristic, complemented
60#17985941C2211yescharacteristic, complemented
61#17985941C2211yescharacteristic, complemented
62#17985936C2211yescharacteristic, complemented
63#17985935C2211yescharacteristic
64#17985935C2211yescharacteristic
65#17985932C2211yescharacteristic, complemented
66#17985932C2211yescharacteristic, complemented
67#17985931C2211yescharacteristic, complemented
68#17985930C2211yescharacteristic, complemented
69#17985930C2211yescharacteristic, complemented
70#17985928C2211yescharacteristic
71#17985928C2211yescharacteristic
72#17985928C2211yescharacteristic, complemented
73#17985927C2211yescharacteristic, complemented
74#17985926C2211yescharacteristic
75#17985926C2211yescharacteristic
76#17985925C2211yescharacteristic, complemented
77#17985922C2211yescharacteristic, complemented
78#17985922C2211yescharacteristic, complemented
79#17985921C2211yescharacteristic, complemented
80#17985921C2211yescharacteristic, complemented
81#17985920C2211yescharacteristic, complemented
82#17985920C2211yescharacteristic, complemented
83#17985920C2211yescharacteristic, complemented
84#17985920C2211yescharacteristic, complemented
85#17985919C2211yescharacteristic, complemented
86#17985919C2211yescharacteristic, complemented
87#17985917C2211yescharacteristic
88#17985916C2211yescharacteristic
89#17985915C2211yescharacteristic
90#17985915C2211yescharacteristic, complemented
91#17985915C2211yescharacteristic, complemented
92#17985914C2211yescharacteristic
93#17985914C2211yescharacteristic
94#17985914C2211yescharacteristic
95#17985912C2211yescharacteristic, complemented
96#17985911C2211yescharacteristic
97#17985911C2211yescharacteristic
98#17985911C2211yescharacteristic, complemented
99#17985903C2211yescharacteristic, complemented
100#17985903C2211yescharacteristic, complemented
101#17985902C2211yescharacteristic
102#17985899C2211yescharacteristic
103#17985897C2211yescharacteristic, complemented
104#17985897C2211yescharacteristic, complemented
105#17985895C2211yescharacteristic, complemented
106#17985895C2211yescharacteristic, complemented
107#17985892C2211yescharacteristic
108#17985892C2211yescharacteristic
109#17985891C2211yescharacteristic, complemented
110#17985890C2211yescharacteristic
111#17985889C2211yescharacteristic
112#17985889C2211yescharacteristic
113#17985889C2211yescharacteristic, complemented
114#17985888C2211yescharacteristic
115#17985886C2211yescharacteristic, complemented
116#17985886C2211yescharacteristic, complemented
117#17985886C2211yescharacteristic, complemented
118#17985885C2211yescharacteristic, complemented
119#17985884C2211yescharacteristic, complemented
120#17985884C2211yescharacteristic, complemented
121#17985883C2211yescharacteristic, complemented
122#17985883C2211yescharacteristic, complemented
123#17985882C2211yescharacteristic, complemented
124#17985880C2211yescharacteristic, complemented
125#17985879C2211yescharacteristic
126#17985878C2211yescharacteristic
127#17985877C2211yescharacteristic
128#17985877C2211yescharacteristic
129#17985877C2211yescharacteristic
130#17985877C2211yescharacteristic
131#17985877C2211yescharacteristic
132#17985876C2211yescharacteristic, complemented
133#17985875C2211yescharacteristic
134#17985875C2211yescharacteristic
135#17985875C2211yescharacteristic
136#17985875C2211yescharacteristic
137#17985875C2211yescharacteristic
138#17985875C2211yescharacteristic
139#17985875C2211yescharacteristic, complemented
140#17985874C2211yescharacteristic
141#17985874C2211yescharacteristic
142#17985874C2211yescharacteristic, complemented
143#17985873C2211yescharacteristic
144#17985873C2211yescharacteristic
145#17985873C2211yescharacteristic
146#17985873C2211yescharacteristic
147#17985873C2211yescharacteristic
148#17985873C2211yescharacteristic, complemented
149#17985873C2211yescharacteristic, complemented
150#17985871C2211yescharacteristic, complemented
151#17985870C2211yescharacteristic
152#17985859C2211yescharacteristic
153#17985858C2211yescharacteristic
154#17985858C2211yescharacteristic
155#17985858C2211yescharacteristic
156#17985858C2211yescharacteristic
157#17985858C2211yescharacteristic
158#17985857C2211yescharacteristic
159#17985857C2211yescharacteristic
160#17985857C2211yescharacteristic
161#17985856C2211yescharacteristic
162#17985856C2211yescharacteristic
163#17985856C2211yescharacteristic
164#17985856C2211yescharacteristic
165#17985856C2211yescharacteristic
166#17985854C2211yescharacteristic
167#17985854C2211yescharacteristic
168C4×(C2×D71)⋊C4C2211yescharacteristic
169#17985846C2211yescharacteristic
170#95×D71C2211yescharacteristic
171#95×D71C2211yescharacteristic
172#400×C71C2211yescharacteristic, complemented
173#399×C71C2211yescharacteristic, complemented
174#398×C71C2211yescharacteristic, complemented
175#397×C71C2211yescharacteristic, complemented
176#394×C71C2211yescharacteristic
177#394×C71C2211yescharacteristic
178#388×C71C2211yescharacteristic
179#388×C71C2211yescharacteristic
180#388×C71C2211yescharacteristic, complemented
181#388×C71C2211yescharacteristic, complemented
182#387×C71C2211yescharacteristic, complemented
183#387×C71C2211yescharacteristic, complemented
184#386×C71C2211yescharacteristic
185#380×C71C2211yescharacteristic
186#380×C71C2211yescharacteristic
187C24×D71C2311yescharacteristic
188C22×Dic142C2311yescharacteristic
189C22×Dic142C2311yescharacteristic
190C22×Dic142C2311yescharacteristic
191C22×D284C2311yescharacteristic
192C22×D284C2311yescharacteristic
193C22×C22⋊D71C2311yescharacteristic
194C22×C22⋊D71C2311yescharacteristic
195C22×C22⋊D71C2311yescharacteristic
196C22×C22⋊D71C2311yescharacteristic
197C23×Dic71C2311yescharacteristic
198C23×Dic71C2311yescharacteristic
199C22×C4×D71—24no—
200C22×C4×D71—42no—
201C22×C4×D71—42no—
202C22×C4×D71C2311yescharacteristic
203C22×C4×D71C2311yescharacteristic
204C22×C4×D71C2311yescharacteristic
205C22×C4×D71C2311yescharacteristic
206C22×C4×D71C2311yescharacteristic
207C22×C4×D71C2311yescharacteristic
208C22×C4×D71C2311yescharacteristic
209C22×C4×D71C2311yescharacteristic
210C22×C4×D71C2311yescharacteristic
211#14556123—42no—
212#14556121—42no—
213#14556116—42no—
214#14556114—42no—
215#14556113—42no—
216#14556112—42no—
217#14556108—24no—
218#14556108—42no—
219#14556108—42no—
220#14556107—42no—
221#14556106—42no—
222#14556106—42no—
223#14556105—42no—
224#14556101—24no—
225#14556101—42no—
226#14556100—42no—
227#14556098—42no—
228#14556096—42no—
229C4×D284—42no—
230(C22⋊D71)⋊C4—42no—
231C2×C4⋊Dic71C2311yescharacteristic
232C2×C4⋊Dic71C2311yescharacteristic
233C2×C4⋊Dic71C2311yescharacteristic
234C2×C4⋊Dic71C2311yescharacteristic
235C2×C4⋊Dic71C2311yescharacteristic
236C2×C4⋊Dic71C2311yescharacteristic
237C2×C4⋊Dic71C2311yescharacteristic
238C2×C4⋊Dic71C2311yescharacteristic
239C2×C4⋊Dic71C2311yescharacteristic
240C2×C4⋊Dic71C2311yescharacteristic
241C2×C4⋊Dic71C2311yescharacteristic
242C2×C4⋊Dic71C2311yescharacteristic
243C2×Dic71⋊C4C2311yescharacteristic
244C2×Dic71⋊C4C2311yescharacteristic
245C2×Dic71⋊C4C2311yescharacteristic
246C2×Dic71⋊C4C2311yescharacteristic
247C2×Dic71⋊C4C2311yescharacteristic
248C2×Dic71⋊C4C2311yescharacteristic
249C2×Dic71⋊C4C2311yescharacteristic
250C2×Dic71⋊C4C2311yescharacteristic
251C2×Dic71⋊C4C2311yescharacteristic
252C2×Dic71⋊C4C2311yescharacteristic
253C2×Dic71⋊C4C2311yescharacteristic
254C2×Dic71⋊C4C2311yescharacteristic
255C2×Dic71⋊C4C2311yescharacteristic
256C2×Dic71⋊C4C2311yescharacteristic
257C2×Dic71⋊C4C2311yescharacteristic
258C2×Dic71⋊C4C2311yescharacteristic
259C4⋊C4×D71—42no—
260C4⋊C4×D71—42no—
261C2×C22⋊Dic71C2311yescharacteristic
262C2×C22⋊Dic71C2311yescharacteristic
263C2×C22⋊Dic71C2311yescharacteristic
264C2×C22⋊Dic71C2311yescharacteristic
265C2×C22⋊Dic71C2311yescharacteristic
266C2×C22⋊Dic71C2311yescharacteristic
267C2×C22⋊Dic71C2311yescharacteristic
268C2×C22⋊Dic71C2311yescharacteristic
269C2×C22⋊Dic71C2311yescharacteristic
270C2×(C2×D71)⋊C4C2311yescharacteristic
271C2×(C2×D71)⋊C4C2311yescharacteristic
272C2×(C2×D71)⋊C4C2311yescharacteristic
273C2×(C2×D71)⋊C4C2311yescharacteristic
274C2×(C2×D71)⋊C4C2311yescharacteristic
275C2×(C2×D71)⋊C4C2311yescharacteristic
276C2×(C2×D71)⋊C4C2311yescharacteristic
277C2×(C2×D71)⋊C4C2311yescharacteristic
278C2×(C2×D71)⋊C4C2311yescharacteristic
279C2×(C2×D71)⋊C4C2311yescharacteristic
280C2×(C2×D71)⋊C4C2311yescharacteristic
281C2×(C2×D71)⋊C4C2311yescharacteristic
282C2×(C2×D71)⋊C4C2311yescharacteristic
283C2×(C2×D71)⋊C4C2311yescharacteristic
284C2×(C2×D71)⋊C4C2311yescharacteristic
285C2×(C2×D71)⋊C4C2311yescharacteristic
286C2×(C2×D71)⋊C4C2311yescharacteristic
287C2×(C2×D71)⋊C4C2311yescharacteristic
288C2×(C2×D71)⋊C4C2311yescharacteristic
289C2×(C2×D71)⋊C4C2311yescharacteristic
290C2×(C2×D71)⋊C4C2311yescharacteristic
291C2×(C2×D71)⋊C4C2311yescharacteristic
292C2×(C2×D71)⋊C4C2311yescharacteristic
293C2×(C2×D71)⋊C4C2311yescharacteristic
294C2×(C2×D71)⋊C4C2311yescharacteristic
295C2×(C2×D71)⋊C4C2311yescharacteristic
296C22⋊C4×D71—42no—
297C22⋊C4×D71—42no—
298C2×C4×Dic71C2311yescharacteristic
299C2×C4×Dic71C2311yescharacteristic
300C2×C4×Dic71C2311yescharacteristic
301C2×C4×Dic71C2311yescharacteristic
302C71⋊#95C2311yescharacteristic
303C71⋊#95C2311yescharacteristic
304C71⋊#95C2311yescharacteristic
305C71⋊#95C2311yescharacteristic
306C71⋊#95C2311yescharacteristic
307C71⋊#95C2311yescharacteristic
308C71⋊#95C2311yescharacteristic
309C71⋊#95C2311yescharacteristic
310C71⋊#95C2311yescharacteristic
311C71⋊#95C2311yescharacteristic
312C71⋊#95C2311yescharacteristic
313C71⋊#95C2311yescharacteristic
314C71⋊#95C2311yescharacteristic
315C71⋊#95C2311yescharacteristic
316C71⋊#95C2311yescharacteristic
317C71⋊#95C2311yescharacteristic
318C71⋊#95C2311yescharacteristic
319C71⋊#95C2311yescharacteristic
320C71⋊#95C2311yescharacteristic
321C71⋊#95C2311yescharacteristic
322C71⋊#95C2311yescharacteristic
323C71⋊#95C2311yescharacteristic
324C71⋊#95C2311yescharacteristic
325C71⋊#95C2311yescharacteristic
326C71⋊#95C2311yescharacteristic
327C71⋊#95C2311yescharacteristic
328C71⋊#95C2311yescharacteristic
329C71⋊#95C2311yescharacteristic
330C71⋊#95C2311yescharacteristic
331C71⋊#95C2311yescharacteristic
332C71⋊#95C2311yescharacteristic
333C71⋊#95C2311yescharacteristic
334C22×D4×C71C2311yescharacteristic
335C23×C4×C71C2311yescharacteristic
336C2×C4⋊C4×C71C2311yescharacteristic
337C2×C4⋊C4×C71C2311yescharacteristic
338C2×C4⋊C4×C71C2311yescharacteristic
339C2×C4⋊C4×C71C2311yescharacteristic
340C2×C4⋊C4×C71C2311yescharacteristic
341C2×C4⋊C4×C71C2311yescharacteristic
342C2×C4⋊C4×C71C2311yescharacteristic
343C2×C4⋊C4×C71C2311yescharacteristic
344C2×C22⋊C4×C71C2311yescharacteristic
345C2×C22⋊C4×C71C2311yescharacteristic
346C2×C22⋊C4×C71C2311yescharacteristic
347C2×C22⋊C4×C71C2311yescharacteristic
348C2×C22⋊C4×C71C2311yescharacteristic
349C2×C22⋊C4×C71C2311yescharacteristic
350C2×C22⋊C4×C71C2311yescharacteristic
351C2×C22⋊C4×C71C2311yescharacteristic
352C2×C22⋊C4×C71C2311yescharacteristic
353C2×C22⋊C4×C71C2311yescharacteristic
354C2×C22⋊C4×C71C2311yescharacteristic
355C2×C42×C71C2311yescharacteristic
356C2×C42×C71C2311yescharacteristic
357#95×C71C2311yescharacteristic
358#95×C71C2311yescharacteristic
359#95×C71C2311yescharacteristic
360#95×C71C2311yescharacteristic
361#95×C71C2311yescharacteristic
362#95×C71C2311yescharacteristic
363#95×C71C2311yescharacteristic
364#95×C71C2311yescharacteristic
365#95×C71C2311yescharacteristic
366#95×C71C2311yescharacteristic
367#95×C71C2311yescharacteristic
368#95×C71C2311yescharacteristic
369C23×D71—22no—
370C23×D71—22no—
371C23×D71—22no—
372C23×D71—22no—
373C23×D71—22no—
374C23×D71—41no—
375C23×D71—41no—
376C23×D71C2411yescharacteristic
377C23×D71C2411yescharacteristic
378C23×D71C2411yescharacteristic
379C2×Dic142—22no—
380C2×Dic142—41no—
381C2×Dic142—41no—
382C2×Dic142—41no—
383C2×Dic142—41no—
384C2×Dic142—41no—
385C2×Dic142—41no—
386C2×Dic142—41no—
387C2×Dic142—41no—
388C2×D284—22no—
389C2×D284—22no—
390C2×D284—22no—
391C2×D284—22no—
392C2×D284—41no—
393C2×D284—41no—
394C2×C22⋊D71—22no—
395C2×C22⋊D71—22no—
396C2×C22⋊D71—22no—
397C2×C22⋊D71—22no—
398C2×C22⋊D71—22no—
399C2×C22⋊D71—22no—
400C2×C22⋊D71—41no—
401C2×C22⋊D71—41no—
402C2×C22⋊D71—41no—
403C2×C22⋊D71—41no—
404C2×C22⋊D71—41no—
405C2×C22⋊D71—41no—
406C22×Dic71—22no—
407C22×Dic71—22no—
408C22×Dic71—41no—
409C22×Dic71—41no—
410C22×Dic71—41no—
411C22×Dic71—41no—
412C22×Dic71C2411yescharacteristic
413C22×Dic71C2411yescharacteristic
414C22×Dic71C2411yescharacteristic
415C22×Dic71C2411yescharacteristic
416C22×Dic71C2411yescharacteristic
417C22×Dic71C2411yescharacteristic
418C22×Dic71C2411yescharacteristic
419C22×Dic71C2411yescharacteristic
420C22×Dic71C2411yescharacteristic
421C22×Dic71C2411yescharacteristic
422C22×Dic71C2411yescharacteristic
423C22×Dic71C2411yescharacteristic
424C22×Dic71C2411yescharacteristic
425C2×C4×D71—22no—
426C2×C4×D71—22no—
427C2×C4×D71—22no—
428C2×C4×D71—22no—
429C2×C4×D71—22no—
430C2×C4×D71—22no—
431C2×C4×D71—22no—
432C2×C4×D71—22no—
433C2×C4×D71—22no—
434C2×C4×D71—22no—
435C2×C4×D71—22no—
436C2×C4×D71—416no—
437C2×C4×D71—41no—
438C2×C4×D71—41no—
439C2×C4×D71—41no—
440C2×C4×D71—41no—
441C2×C4×D71—41no—
442C2×C4×D71—41no—
443C2×C4×D71—41no—
444C2×C4×D71—41no—
445C2×C4×D71—41no—
446C2×C4×D71—41no—
447C2×C4×D71—41no—
448C2×C4×D71—41no—
449C2×C4×D71—41no—
450C2×C4×D71—41no—
451C2×C4×D71—41no—
452C2×C4×D71#4114yes—
453C4⋊Dic71—22no—
454C4⋊Dic71—22no—
455C4⋊Dic71—22no—
456C4⋊Dic71—22no—
457C4⋊Dic71—22no—
458C4⋊Dic71—41no—
459C4⋊Dic71—41no—
460C4⋊Dic71—41no—
461C4⋊Dic71—41no—
462C4⋊Dic71—41no—
463C4⋊Dic71—41no—
464C4⋊Dic71—41no—
465Dic71⋊C4—22no—
466Dic71⋊C4—22no—
467Dic71⋊C4—22no—
468Dic71⋊C4—22no—
469Dic71⋊C4—22no—
470Dic71⋊C4—41no—
471Dic71⋊C4—41no—
472Dic71⋊C4—41no—
473Dic71⋊C4—41no—
474Dic71⋊C4—41no—
475Dic71⋊C4—41no—
476Dic71⋊C4—41no—
477Dic71⋊C4—41no—
478Dic71⋊C4—41no—
479Dic71⋊C4—41no—
480Dic71⋊C4—41no—
481C22⋊Dic71—22no—
482C22⋊Dic71—41no—
483C22⋊Dic71—41no—
484C22⋊Dic71—41no—
485C22⋊Dic71—41no—
486C22⋊Dic71—41no—
487C22⋊Dic71—41no—
488C22⋊Dic71—41no—
489C22⋊Dic71—41no—
490(C2×D71)⋊C4—22no—
491(C2×D71)⋊C4—22no—
492(C2×D71)⋊C4—22no—
493(C2×D71)⋊C4—22no—
494(C2×D71)⋊C4—22no—
495(C2×D71)⋊C4—22no—
496(C2×D71)⋊C4—22no—
497(C2×D71)⋊C4—22no—
498(C2×D71)⋊C4—22no—
499(C2×D71)⋊C4—22no—
500(C2×D71)⋊C4—22no—
501(C2×D71)⋊C4—22no—
502(C2×D71)⋊C4—22no—
503(C2×D71)⋊C4—22no—
504(C2×D71)⋊C4—22no—
505(C2×D71)⋊C4—41no—
506(C2×D71)⋊C4—41no—
507(C2×D71)⋊C4—41no—
508(C2×D71)⋊C4—41no—
509(C2×D71)⋊C4—41no—
510(C2×D71)⋊C4—41no—
511(C2×D71)⋊C4—41no—
512(C2×D71)⋊C4—41no—
513(C2×D71)⋊C4—41no—
514(C2×D71)⋊C4—41no—
515(C2×D71)⋊C4—41no—
516C4×Dic71—41no—
517C4×Dic71—41no—
518C4×Dic71—41no—
519C4×Dic71—41no—
520C24×C71C2411yescharacteristic
521C24×C71C2411yescharacteristic
522C2×D4×C71—22no—
523C2×D4×C71—41no—
524C2×D4×C71—41no—
525C22×C4×C71—22no—
526C22×C4×C71—22no—
527C22×C4×C71—41no—
528C22×C4×C71C2411yescharacteristic
529C22×C4×C71C2411yescharacteristic
530C22×C4×C71C2411yescharacteristic
531C22×C4×C71C2411yescharacteristic
532C22×C4×C71C2411yescharacteristic
533C22×C4×C71C2411yescharacteristic
534C22×C4×C71C2411yescharacteristic
535C22×C4×C71C2411yescharacteristic
536C22×C4×C71C2411yescharacteristic
537C22×C4×C71C2411yescharacteristic
538C22×C4×C71C2411yescharacteristic
539C22×C4×C71C2411yescharacteristic
540C22×C4×C71C2411yescharacteristic
541C4⋊C4×C71—22no—
542C4⋊C4×C71—22no—
543C4⋊C4×C71—41no—
544C4⋊C4×C71—41no—
545C4⋊C4×C71—41no—
546C4⋊C4×C71—41no—
547C4⋊C4×C71—41no—
548C4⋊C4×C71—41no—
549C22⋊C4×C71—22no—
550C22⋊C4×C71—22no—
551C22⋊C4×C71—22no—
552C22⋊C4×C71—22no—
553C22⋊C4×C71—41no—
554C22⋊C4×C71—41no—
555C22⋊C4×C71—41no—
556C22⋊C4×C71—41no—
557C22⋊C4×C71—41no—
558C22⋊C4×C71—41no—
559C22⋊C4×C71—41no—
560C42×C71—41no—
561C42×C71—41no—
562C23×C71—21no—
563C23×C71—21no—
564C23×C71—21no—
565C23×C71—21no—
566C23×C71—21no—
567C23×C71—21no—
568C23×C71—21no—
569C23×C71—21no—
570C23×C71—21no—
571C23×C71—21no—
572C23×C71—21no—
573C23×C71—21no—
574C23×C71—21no—
575C23×C712−1+412yes—
576C23×C71C2511yescharacteristic
577C22×D71—21no—
578C22×D71—21no—
579C22×D71—21no—
580C22×D71—21no—
581C22×D71—28no—
582C22×D71—21no—
583C22×D71—21no—
584C22×D71—21no—
585C22×D71—21no—
586C22×D71—21no—
587C22×D71—21no—
588C22×D71—21no—
589C22×D71—21no—
590C22×D71—21no—
591C22×D71—21no—
592C22×D71—21no—
593C22×D71—21no—
594C22×D71—21no—
595C22×D71—44no—
596C22×D71—44no—
597C22×D71—44no—
598C22×D71—44no—
599C22×D71—44no—
600C22×D71—44no—
601C22×D71C2×#4112yes—
602C22×D71H(5,𝔽2)12yes—
603C22×D71H(5,𝔽2)12yes—
604C22×D712−1+412yes—
605D4×C71—82no—
606C2×C4×C71—21no—
607C2×C4×C71—21no—
608C2×C4×C71—21no—
609C2×C4×C71—21no—
610C2×C4×C71—21no—
611C2×C4×C71—21no—
612C2×C4×C71—21no—
613C2×C4×C71—21no—
614C2×C4×C71—21no—
615C2×C4×C71—21no—
616C2×C4×C71—21no—
617C2×C4×C71—21no—
618C2×C4×C71—21no—
619C2×C4×C71—21no—
620C2×C4×C71—21no—
621C2×C4×C71—21no—
622C2×C4×C71—21no—
623C2×C4×C71—21no—
624C2×C4×C71—21no—
625C2×C4×C71—21no—
626C2×C4×C71—21no—
627C2×C4×C71—21no—
628C2×C4×C71—21no—
629C2×C4×C71—21no—
630C2×C4×C71—21no—
631C2×C4×C71—21no—
632C2×C4×C71—21no—
633C2×C4×C71—21no—
634C2×C4×C71—21no—
635C2×C4×C71—21no—
636C2×C4×C71—21no—
637C2×C4×C71—21no—
638C2×C4×C71—21no—
639C2×C4×C71—21no—
640C2×C4×C71—21no—
641C2×C4×C71—21no—
642C2×C4×C71—21no—
643C2×C4×C71—44no—
644C2×C4×C71C2×#4112yes—
645C2×C4×C71H(5,𝔽2)12yes—
646C22⋊D71—44no—
647C22⋊D71—82no—
648C22⋊D71—82no—
649C22⋊D71—82no—
650C2×Dic71—21no—
651C2×Dic71—21no—
652C2×Dic71—21no—
653C2×Dic71—21no—
654C2×Dic71—21no—
655C2×Dic71—21no—
656C2×Dic71—21no—
657C2×Dic71—21no—
658C2×Dic71—21no—
659C2×Dic71—21no—
660C2×Dic71—21no—
661C2×Dic71—21no—
662C2×Dic71—21no—
663C2×Dic71—21no—
664C2×Dic71—21no—
665C2×Dic71—21no—
666C2×Dic71—21no—
667C2×Dic71—21no—
668C2×Dic71—21no—
669C2×Dic71—21no—
670C2×Dic71—21no—
671C2×Dic71—21no—
672C2×Dic71—21no—
673C2×Dic71—21no—
674C2×Dic71—21no—
675C2×Dic71—21no—
676C2×Dic71—21no—
677C2×Dic71—21no—
678C2×Dic71—21no—
679C2×Dic71—21no—
680C2×Dic71—21no—
681C2×Dic71—21no—
682C2×Dic71—21no—
683C2×Dic71—21no—
684C2×Dic71—21no—
685C2×Dic71—21no—
686C2×Dic71—21no—
687C2×Dic71—44no—
688C2×Dic71—82no—
689C2×Dic71C2×#4112yes—
690C2×Dic71H(5,𝔽2)12yes—
691D284—44no—
692D284—82no—
693C4×D71—28no—
694C4×D71—44no—
695C4×D71—44no—
696C4×D71—44no—
697C4×D71—82no—
698C4×D71—82no—
699C4×D71—82no—
700C4×D71—82no—
701C4×D71—82no—
702Dic142—82no—
703Dic142—82no—
704Dic142—82no—
705C22×C71—22no—
706C22×C71—22no—
707C22×C71—22no—
708C22×C71—41no—
709C22×C71—41no—
710C22×C71—41no—
711C22×C71—41no—
712C22×C71—41no—
713C22×C71—41no—
714C22×C71—41no—
715C22×C71—41no—
716C22×C71—41no—
717C22×C71—41no—
718C22×C71—41no—
719C22×C71C22×#4111yescharacteristic
720C22×C71C2×H(5,𝔽2)11yescharacteristic
721C22×C71C2×H(5,𝔽2)11yescharacteristic
722C22×C71C2×H(5,𝔽2)11yescharacteristic
723C22×C71C2×H(5,𝔽2)11yescharacteristic
724C22×C71C2×2−1+411yescharacteristic
725C22×C71C2×2−1+411yescharacteristic
726C2×D71—22no—
727C2×D71—22no—
728C2×D71—22no—
729C2×D71—22no—
730C2×D71—22no—
731C2×D71—22no—
732C2×D71—22no—
733C2×D71—22no—
734C2×D71—22no—
735C2×D71—416no—
736C2×D71—41no—
737C2×D71—41no—
738C2×D71—41no—
739C2×D71—41no—
740C2×D71—41no—
741C2×D71—41no—
742C2×D71—41no—
743C2×D71—41no—
744C2×D71—41no—
745C2×D71—41no—
746C2×D71—41no—
747C2×D71#54214yes—
748C4×C71—22no—
749C4×C71—22no—
750C4×C71—41no—
751C4×C71—41no—
752C4×C71—41no—
753C4×C71—41no—
754C4×C71—41no—
755C4×C71—41no—
756C4×C71—41no—
757C4×C71—41no—
758C4×C71—41no—
759C4×C71—41no—
760C4×C71—41no—
761Dic71—22no—
762Dic71—22no—
763Dic71—41no—
764Dic71—41no—
765Dic71—41no—
766Dic71—41no—
767Dic71—41no—
768Dic71—41no—
769Dic71—41no—
770Dic71—41no—
771Dic71—41no—
772Dic71—41no—
773Dic71—41no—
774#36729—711nomaximal, Sylow
775C2×C71—42no—
776C2×C71—81no—
777C2×C71C2×#54211yescharacteristic
778C2×C71#349011yescharacteristic
779C2×C71#349211yescharacteristic
780C2×C71#353611yescharacteristic
781C2×C71#353611yescharacteristic
782C2×C71#353711yescharacteristic
783C2×C71#353811yescharacteristic
784D71—24no—
785D71—42no—
786D71—81no—
787#2848—711no—
788#2847—711no—
789#2747—711no—
790#2747—711no—
791#2742—711no—
792#2742—711no—
793#2741—711no—
794#2741D7111yescharacteristic, complemented
795#2717—711no—
796#2717—711no—
797#2702—711no—
798#2702—711no—
799#2692—711no—
800#2692—711no—
801#2691—711no—
802#2691—711no—
803#2672—711no—
804#2672—711no—
805#2659—711no—
806#2639—711no—
807#2481—711no—
808#2481—711no—
809#2472—711no—
810#2472—711no—
811#2449—711no—
812#2449—711no—
813#2418—711no—
814#2418—711no—
815#2329—711no—
816#2325—711no—
817C2×#380—711no—
818C71#3672911yescharacteristic, complemented, Sylow
819C24×C4—711no—
820C2×#126—711no—
821C2×#126—711no—
822C2×#124—711no—
823C2×#124—711no—
824C2×#123—711no—
825C2×#123—711no—
826C2×C22⋊Q8—711no—
827C2×C22⋊Q8—711no—
828C2×C22⋊Q8—711no—
829C2×C22⋊Q8—711no—
830C2×C22⋊Q8—711no—
831C2×C22⋊Q8—711no—
832C2×C22⋊Q8—711no—
833C2×#121—711no—
834C2×#121—711no—
835C2×#121—711no—
836C2×#120—711no—
837C2×#120—711no—
838C2×C4×D4—711no—
839C2×C4×D4—711no—
840C22×C4⋊C4—711no—
841C22×C4⋊C4—711no—
842C22×C22⋊C4—711no—
843C22×C22⋊C4—711no—
844#400—711no—
845#400—711no—
846#400—711no—
847#400—711no—
848#400—711no—
849#400C2×D7111yescharacteristic, complemented
850#399—711no—
851#399—711no—
852#399—711no—
853#399C2×D7111yescharacteristic, complemented
854#398—711no—
855#398—711no—
856#398—711no—
857#398—711no—
858#398—711no—
859#398C2×D7111yescharacteristic, complemented
860#397—711no—
861#397—711no—
862#397—711no—
863#397—711no—
864#397—711no—
865#397—711no—
866#397—711no—
867#397C2×D7111yescharacteristic, complemented
868#396—711no—
869#396—711no—
870#396—711no—
871#396—711no—
872#395—711no—
873#395—711no—
874#395—711no—
875#395—711no—
876#395—711no—
877#395—711no—
878#394—711no—
879#394—711no—
880#394—711no—
881#394—711no—
882#394—711no—
883#394—711no—
884#394—711no—
885#394—711no—
886#394C2×D7111yescharacteristic
887#394C2×D7111yescharacteristic
888#393—711no—
889#393—711no—
890#393—711no—
891#393—711no—
892#391—711no—
893#391—711no—
894#390—711no—
895#390—711no—
896#389—711no—
897#389—711no—
898#389—711no—
899#389—711no—
900#388—711no—
901#388—711no—
902#388—711no—
903#388—711no—
904#388—711no—
905#388—711no—
906#388—711no—
907#388—711no—
908#388C2×D7111yescharacteristic
909#388C2×D7111yescharacteristic
910#388C2×D7111yescharacteristic, complemented
911#388C2×D7111yescharacteristic, complemented
912#387—711no—
913#387—711no—
914#387—711no—
915#387—711no—
916#387—711no—
917#387—711no—
918#387—711no—
919#387—711no—
920#387—711no—
921#387—711no—
922#387C2×D7111yescharacteristic, complemented
923#387C2×D7111yescharacteristic, complemented
924#386—711no—
925#386—711no—
926#386—711no—
927#386—711no—
928#386—711no—
929#386—711no—
930#386—711no—
931#386—711no—
932#386—711no—
933#386—711no—
934#386—711no—
935#386—711no—
936#386—711no—
937#386—711no—
938#386—711no—
939#386C2×D7111yescharacteristic
940#385—711no—
941#385—711no—
942#385—711no—
943#385—711no—
944#385—711no—
945#385—711no—
946#385—711no—
947#385—711no—
948#385—711no—
949#385—711no—
950#385—711no—
951#385—711no—
952#380—711no—
953#380—711no—
954#380—711no—
955#380—711no—
956#380—711no—
957#380—711no—
958#380—711no—
959#380—711no—
960#380—711no—
961#380—711no—
962#380—711no—
963#380—711no—
964#380—711no—
965#380—711no—
966#380C2×D7111yescharacteristic
967#380C2×D7111yescharacteristic
968#379—711no—
969#379—711no—
970C4×C22⋊C4—711no—
971C4×C22⋊C4—711no—
972C2×#95—711no—
973C2×#95—711no—
974C25—711no—
975C22×Q8—711no—
976C22×Q8—711no—
977C22×Q8—711no—
978C22×D4—711no—
979C22×D4—711no—
980C22×D4—711no—
981C22×D4—711no—
982C22×D4—711no—
983C22×D4—711no—
984C22×D4C22×D7111yescharacteristic
985C23×C4—2842no—
986C23×C4—2842no—
987C23×C4—711no—
988C23×C4—711no—
989C23×C4—711no—
990C23×C4—711no—
991C23×C4—711no—
992C23×C4—711no—
993C23×C4—711no—
994C23×C4—711no—
995C23×C4—711no—
996C23×C4—711no—
997C23×C4—711no—
998C23×C4—1424no—
999C23×C4C22×D7111yescharacteristic
1000#126—2842no—
1001#126—2842no—
1002#124—2842no—
1003#124—2842no—
1004#123—2842no—
1005#123—2842no—
1006C22⋊Q8—2842no—
1007C22⋊Q8—2842no—
1008C22⋊Q8—2842no—
1009C22⋊Q8—2842no—
1010C22⋊Q8—2842no—
1011C22⋊Q8—2842no—
1012C22⋊Q8—1424no—
1013#121—2842no—
1014#121—2842no—
1015#121—1424no—
1016#120—2842no—
1017#120—2842no—
1018C4×D4—2842no—
1019C4×D4—2842no—
1020C2×C4⋊C4—2842no—
1021C2×C4⋊C4—2842no—
1022C2×C4⋊C4—711no—
1023C2×C4⋊C4—711no—
1024C2×C4⋊C4—711no—
1025C2×C4⋊C4—711no—
1026C2×C4⋊C4—711no—
1027C2×C4⋊C4—711no—
1028C2×C4⋊C4—711no—
1029C2×C4⋊C4—711no—
1030C2×C4⋊C4—711no—
1031C2×C4⋊C4—711no—
1032C2×C4⋊C4—711no—
1033C2×C4⋊C4—711no—
1034C2×C4⋊C4—711no—
1035C2×C4⋊C4—711no—
1036C2×C4⋊C4—711no—
1037C2×C4⋊C4—711no—
1038C2×C4⋊C4—711no—
1039C2×C4⋊C4—711no—
1040C2×C4⋊C4—711no—
1041C2×C4⋊C4—711no—
1042C2×C4⋊C4—711no—
1043C2×C4⋊C4—711no—
1044C2×C4⋊C4—711no—
1045C2×C4⋊C4—711no—
1046C2×C4⋊C4—711no—
1047C2×C4⋊C4—711no—
1048C2×C4⋊C4—711no—
1049C2×C4⋊C4—711no—
1050C2×C4⋊C4C22×D7111yescharacteristic
1051C2×C4⋊C4C22×D7111yescharacteristic
1052C2×C4⋊C4C22×D7111yescharacteristic
1053C2×C4⋊C4C22×D7111yescharacteristic
1054C2×C4⋊C4C22×D7111yescharacteristic
1055C2×C4⋊C4C22×D7111yescharacteristic
1056C2×C4⋊C4C22×D7111yescharacteristic
1057C2×C4⋊C4C22×D7111yescharacteristic
1058C2×C22⋊C4—2842no—
1059C2×C22⋊C4—2842no—
1060C2×C22⋊C4—711no—
1061C2×C22⋊C4—711no—
1062C2×C22⋊C4—711no—
1063C2×C22⋊C4—711no—
1064C2×C22⋊C4—711no—
1065C2×C22⋊C4—711no—
1066C2×C22⋊C4—711no—
1067C2×C22⋊C4—711no—
1068C2×C22⋊C4—711no—
1069C2×C22⋊C4—711no—
1070C2×C22⋊C4—711no—
1071C2×C22⋊C4—711no—
1072C2×C22⋊C4—711no—
1073C2×C22⋊C4—711no—
1074C2×C22⋊C4—711no—
1075C2×C22⋊C4—711no—
1076C2×C22⋊C4—711no—
1077C2×C22⋊C4—711no—
1078C2×C22⋊C4—711no—
1079C2×C22⋊C4—711no—
1080C2×C22⋊C4—711no—
1081C2×C22⋊C4—711no—
1082C2×C22⋊C4—711no—
1083C2×C22⋊C4—711no—
1084C2×C22⋊C4—711no—
1085C2×C22⋊C4—711no—
1086C2×C22⋊C4—711no—
1087C2×C22⋊C4—711no—
1088C2×C22⋊C4—711no—
1089C2×C22⋊C4—711no—
1090C2×C22⋊C4—711no—
1091C2×C22⋊C4—711no—
1092C2×C22⋊C4—711no—
1093C2×C22⋊C4—711no—
1094C2×C22⋊C4—711no—
1095C2×C22⋊C4C22×D7111yescharacteristic
1096C2×C22⋊C4C22×D7111yescharacteristic
1097C2×C22⋊C4C22×D7111yescharacteristic
1098C2×C22⋊C4C22×D7111yescharacteristic
1099C2×C22⋊C4C22×D7111yescharacteristic
1100C2×C22⋊C4C22×D7111yescharacteristic
1101C2×C22⋊C4C22×D7111yescharacteristic
1102C2×C22⋊C4C22×D7111yescharacteristic
1103C2×C22⋊C4C22×D7111yescharacteristic
1104C2×C22⋊C4C22×D7111yescharacteristic
1105C2×C22⋊C4C22×D7111yescharacteristic
1106C2×C42—711no—
1107C2×C42—711no—
1108C2×C42—711no—
1109C2×C42—711no—
1110C2×C42C22×D7111yescharacteristic
1111C2×C42C22×D7111yescharacteristic
1112#95—711no—
1113#95—711no—
1114#95—711no—
1115#95—711no—
1116#95—711no—
1117#95—711no—
1118#95—711no—
1119#95—711no—
1120#95—711no—
1121#95—711no—
1122#95—711no—
1123#95—711no—
1124#95—711no—
1125#95—711no—
1126#95—711no—
1127#95—711no—
1128#95—711no—
1129#95—711no—
1130#95—711no—
1131#95—711no—
1132#95—711no—
1133#95—711no—
1134#95—711no—
1135#95—711no—
1136#95—711no—
1137#95—711no—
1138#95—711no—
1139#95—711no—
1140#95—711no—
1141#95—711no—
1142#95—711no—
1143#95—711no—
1144#95C22×D7111yescharacteristic
1145#95C22×D7111yescharacteristic
1146#95C22×D7111yescharacteristic
1147#95C22×D7111yescharacteristic
1148#95C22×D7111yescharacteristic
1149#95C22×D7111yescharacteristic
1150#95C22×D7111yescharacteristic
1151#95C22×D7111yescharacteristic
1152#95C22×D7111yescharacteristic
1153#95C22×D7111yescharacteristic
1154#95C22×D7111yescharacteristic
1155#95C22×D7111yescharacteristic
1156C24—2841no—
1157C24—2841no—
1158C24—711no—
1159C24—711no—
1160C24—711no—
1161C24—1422no—
1162C24—1422no—
1163C24—1422no—
1164C24—1422no—
1165C24—1422no—
1166C24C23×D7111yescharacteristic
1167C24C23×D7111yescharacteristic
1168C2×Q8—2841no—
1169C2×Q8—2841no—
1170C2×Q8—2841no—
1171C2×Q8—2841no—
1172C2×Q8—2841no—
1173C2×Q8—2841no—
1174C2×Q8—2841no—
1175C2×Q8—2841no—
1176C2×Q8—1422no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—2841no—
1181C2×D4—2841no—
1182C2×D4—2841no—
1183C2×D4—2841no—
1184C2×D4—2841no—
1185C2×D4—2841no—
1186C2×D4—2841no—
1187C2×D4—2841no—
1188C2×D4—1422no—
1189C2×D4—1422no—
1190C2×D4—1422no—
1191C2×D4—1422no—
1192C2×D4—1422no—
1193C2×D4—1422no—
1194C2×D4—1422no—
1195C2×D4—1422no—
1196C2×D4—1422no—
1197C2×D4—1422no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—2841no—
1202C22×C4—2841no—
1203C22×C4—2841no—
1204C22×C4—2841no—
1205C22×C4—2841no—
1206C22×C4—2841no—
1207C22×C4—2841no—
1208C22×C4—2841no—
1209C22×C4—2841no—
1210C22×C4—2841no—
1211C22×C4—2841no—
1212C22×C4—2841no—
1213C22×C4—2841no—
1214C22×C4—2841no—
1215C22×C4—2841no—
1216C22×C4—28416no—
1217C22×C4—2841no—
1218C22×C4—2841no—
1219C22×C4—2841no—
1220C22×C4—2841no—
1221C22×C4—714no—
1222C22×C4—711no—
1223C22×C4—711no—
1224C22×C4—711no—
1225C22×C4—711no—
1226C22×C4—711no—
1227C22×C4—711no—
1228C22×C4—711no—
1229C22×C4—711no—
1230C22×C4—711no—
1231C22×C4—711no—
1232C22×C4—711no—
1233C22×C4—711no—
1234C22×C4—711no—
1235C22×C4—1422no—
1236C22×C4—1422no—
1237C22×C4—1422no—
1238C22×C4—1422no—
1239C22×C4—1422no—
1240C22×C4—1422no—
1241C22×C4—1422no—
1242C22×C4—1422no—
1243C22×C4—1422no—
1244C22×C4—1422no—
1245C22×C4—1422no—
1246C22×C4—1422no—
1247C22×C4—1422no—
1248C22×C4C23×D7111yescharacteristic
1249C22×C4C23×D7111yescharacteristic
1250C22×C4C23×D7111yescharacteristic
1251C22×C4C23×D7111yescharacteristic
1252C22×C4C23×D7111yescharacteristic
1253C22×C4C23×D7111yescharacteristic
1254C22×C4C23×D7111yescharacteristic
1255C22×C4C23×D7111yescharacteristic
1256C22×C4C23×D7111yescharacteristic
1257C22×C4C23×D7111yescharacteristic
1258C22×C4C23×D7111yescharacteristic
1259C22×C4C23×D7111yescharacteristic
1260C22×C4C23×D7111yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—2841no—
1270C4⋊C4—2841no—
1271C4⋊C4—2841no—
1272C4⋊C4—2841no—
1273C4⋊C4—2841no—
1274C4⋊C4—2841no—
1275C4⋊C4—2841no—
1276C4⋊C4—2841no—
1277C4⋊C4—2841no—
1278C4⋊C4—2841no—
1279C4⋊C4—2841no—
1280C4⋊C4—2841no—
1281C4⋊C4—2841no—
1282C4⋊C4—2841no—
1283C4⋊C4—2841no—
1284C4⋊C4—2841no—
1285C4⋊C4—2841no—
1286C4⋊C4—2841no—
1287C4⋊C4—1422no—
1288C4⋊C4—1422no—
1289C4⋊C4—1422no—
1290C4⋊C4—1422no—
1291C4⋊C4—1422no—
1292C4⋊C4—1422no—
1293C4⋊C4—1422no—
1294C4⋊C4—1422no—
1295C4⋊C4—1422no—
1296C4⋊C4—1422no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—2841no—
1309C22⋊C4—2841no—
1310C22⋊C4—2841no—
1311C22⋊C4—2841no—
1312C22⋊C4—2841no—
1313C22⋊C4—2841no—
1314C22⋊C4—2841no—
1315C22⋊C4—2841no—
1316C22⋊C4—2841no—
1317C22⋊C4—2841no—
1318C22⋊C4—2841no—
1319C22⋊C4—2841no—
1320C22⋊C4—2841no—
1321C22⋊C4—2841no—
1322C22⋊C4—2841no—
1323C22⋊C4—2841no—
1324C22⋊C4—2841no—
1325C22⋊C4—2841no—
1326C22⋊C4—2841no—
1327C22⋊C4—1422no—
1328C22⋊C4—1422no—
1329C22⋊C4—1422no—
1330C22⋊C4—1422no—
1331C22⋊C4—1422no—
1332C22⋊C4—1422no—
1333C22⋊C4—1422no—
1334C22⋊C4—1422no—
1335C22⋊C4—1422no—
1336C22⋊C4—1422no—
1337C22⋊C4—1422no—
1338C22⋊C4—1422no—
1339C22⋊C4—1422no—
1340C22⋊C4—1422no—
1341C22⋊C4—1422no—
1342C22⋊C4—1422no—
1343C42—41no—
1344C42—41no—
1345C42—2841no—
1346C42—2841no—
1347C42—2841no—
1348C42—2841no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—2844no—
1363C23—2844no—
1364C23—2844no—
1365C23—2844no—
1366C23—2844no—
1367C23—2844no—
1368C23—712no—
1369C23—712no—
1370C23—712no—
1371C23—712no—
1372C23—1428no—
1373C23—1421no—
1374C23—1421no—
1375C23—1421no—
1376C23—1421no—
1377C23—1421no—
1378C23—1421no—
1379C23—1421no—
1380C23—1421no—
1381C23—1421no—
1382C23—1421no—
1383C23—1421no—
1384C23—1421no—
1385C23—1421no—
1386C23—1421no—
1387C23—1421no—
1388C23—1421no—
1389C23—1421no—
1390C23#1455617512yes—
1391C23C24×D7111yescharacteristic
1392Q8—5682no—
1393Q8—5682no—
1394Q8—5682no—
1395D4—82no—
1396D4—2844no—
1397D4—2844no—
1398D4—5682no—
1399D4—5682no—
1400D4—5682no—
1401D4—5682no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—44no—
1440C2×C4—2844no—
1441C2×C4—2844no—
1442C2×C4—2844no—
1443C2×C4—2844no—
1444C2×C4—5682no—
1445C2×C4—5682no—
1446C2×C4—5682no—
1447C2×C4—5682no—
1448C2×C4—5682no—
1449C2×C4—5682no—
1450C2×C4—712no—
1451C2×C4—712no—
1452C2×C4—1428no—
1453C2×C4—1421no—
1454C2×C4—1421no—
1455C2×C4—1421no—
1456C2×C4—1421no—
1457C2×C4—1421no—
1458C2×C4—1421no—
1459C2×C4—1421no—
1460C2×C4—1421no—
1461C2×C4—1421no—
1462C2×C4—1421no—
1463C2×C4—1421no—
1464C2×C4—1421no—
1465C2×C4—1421no—
1466C2×C4—1421no—
1467C2×C4—1421no—
1468C2×C4—1421no—
1469C2×C4—1421no—
1470C2×C4—1421no—
1471C2×C4—1421no—
1472C2×C4—1421no—
1473C2×C4—1421no—
1474C2×C4—1421no—
1475C2×C4—1421no—
1476C2×C4—1421no—
1477C2×C4—1421no—
1478C2×C4—1421no—
1479C2×C4—1421no—
1480C2×C4—1421no—
1481C2×C4—1421no—
1482C2×C4—1421no—
1483C2×C4—1421no—
1484C2×C4—1421no—
1485C2×C4—1421no—
1486C2×C4—1421no—
1487C2×C4—1421no—
1488C2×C4—1421no—
1489C2×C4—1421no—
1490C2×C4#41×D7112yes—
1491C2×C4#1455617412yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—28416no—
1507C22—2841no—
1508C22—2841no—
1509C22—2841no—
1510C22—2841no—
1511C22—2841no—
1512C22—2841no—
1513C22—2841no—
1514C22—2841no—
1515C22—2841no—
1516C22—2841no—
1517C22—2841no—
1518C22—714no—
1519C22—1422no—
1520C22—1422no—
1521C22—1422no—
1522C22—1422no—
1523C22—1422no—
1524C22—1422no—
1525C22—1422no—
1526C22—1422no—
1527C22—1422no—
1528C22C2×#41×D7111yescharacteristic
1529C22H(5,𝔽2)×D7111yescharacteristic
1530C22H(5,𝔽2)×D7111yescharacteristic
1531C22H(5,𝔽2)×D7111yescharacteristic
1532C22C2×#1455617411yescharacteristic
1533C222−1+4×D7111yescharacteristic
1534C22C2×#1455617511yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—2841no—
1549C4—2841no—
1550C4—2841no—
1551C4—2841no—
1552C4—2841no—
1553C4—2841no—
1554C4—2841no—
1555C4—2841no—
1556C4—2841no—
1557C4—2841no—
1558C4—2841no—
1559C4—1422no—
1560C4—1422no—
1561C2—42no—
1562C2—81no—
1563C2—2842no—
1564C2—5681no—
1565C2—1424no—
1566C2#542×D7111yescharacteristic
1567C2#2260202411yescharacteristic
1568C2#2260204411yescharacteristic
1569C2#2260255911yescharacteristic
1570C2#2260256111yescharacteristic
1571C2#2260257811yescharacteristic
1572C2#2260258611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2741C2
prime radical#22596621C2
hypercenter#2741D71
hypocenterC71#36729
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2741

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22596628C2semidirect
3. #22595545C2semidirect
4. #22595533C2semidirect
5. #22595466C2semidirect
6. #22595466C2semidirect
7. #22595455C2semidirect
8. #22595181C2semidirect
9. #22595180C2semidirect
10. #22594967C2semidirect
11. #22594963C2semidirect
12. #22594840C2semidirect
13. #22594836C2semidirect
14. #22594826C2semidirect
15. #22594814C2semidirect
16. #22594596C2semidirect
17. #22594589C2semidirect
18. #22594455C2semidirect
19. #22594267C2semidirect
20. #22592607C2semidirect
21. #22592604C2semidirect
22. #22592470C2semidirect
23. #22592467C2semidirect
24. #22592154C2semidirect
25. #22592152C2semidirect
26. #22591809C2semidirect
27. #22591797C2semidirect
28. #22591069C2semidirect
29. #22591044C2semidirect
30. #380×D71C2semidirect
31. C71×#2741C2semidirect
33. C2×#14556123C22semidirect
34. C2×#14556121C22semidirect
44. C2×#14556106C22semidirect
45. C2×#14556105C22semidirect
57. #17985941C22semidirect
58. #17985941C22semidirect
59. #17985941C22semidirect
60. #17985941C22semidirect
61. #17985941C22semidirect
62. #17985936C22semidirect
65. #17985932C22semidirect
66. #17985932C22semidirect
67. #17985931C22semidirect
68. #17985930C22semidirect
69. #17985930C22semidirect
72. #17985928C22semidirect
73. #17985927C22semidirect
76. #17985925C22semidirect
77. #17985922C22semidirect
78. #17985922C22semidirect
79. #17985921C22semidirect
80. #17985921C22semidirect
81. #17985920C22semidirect
82. #17985920C22semidirect
83. #17985920C22semidirect
84. #17985920C22semidirect
85. #17985919C22semidirect
86. #17985919C22semidirect
90. #17985915C22semidirect
91. #17985915C22semidirect
95. #17985912C22semidirect
98. #17985911C22semidirect
99. #17985903C22semidirect
100. #17985903C22semidirect
103. #17985897C22semidirect
104. #17985897C22semidirect
105. #17985895C22semidirect
106. #17985895C22semidirect
109. #17985891C22semidirect
113. #17985889C22semidirect
115. #17985886C22semidirect
116. #17985886C22semidirect
117. #17985886C22semidirect
118. #17985885C22semidirect
119. #17985884C22semidirect
120. #17985884C22semidirect
121. #17985883C22semidirect
122. #17985883C22semidirect
123. #17985882C22semidirect
124. #17985880C22semidirect
132. #17985876C22semidirect
139. #17985875C22semidirect
142. #17985874C22semidirect
148. #17985873C22semidirect
149. #17985873C22semidirect
150. #17985871C22semidirect
172. #400×C71C22semidirect
173. #399×C71C22semidirect
174. #398×C71C22semidirect
175. #397×C71C22semidirect
180. #388×C71C22semidirect
181. #388×C71C22semidirect
182. #387×C71C22semidirect
183. #387×C71C22semidirect
794. #2741D71semidirect
818. C71#36729semidirect
849. #400C2×D71semidirect
853. #399C2×D71semidirect
859. #398C2×D71semidirect
867. #397C2×D71semidirect
910. #388C2×D71semidirect
911. #388C2×D71semidirect
922. #387C2×D71semidirect
923. #387C2×D71semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#225966282
#225966212
#225955452
#225955332
#225954662
#225954552
#225951812
#225951802
#225949672
#225949632
#225948402
#225948362
#225948262
#225948142
#225945962
#225945892
#225944552
#225942672
#225926072
#225926042
#225924702
#225924672
#225921542
#225921522
#225918092
#225917972
#225910692
#225910442
#380×D712
C71×#27412
#3672971